Question

if (0.008)^-1/8 = a then what is the value of a​

Answer 1

Answer:

log

10

0.008

⇒log

10

8×10

−3

[ log ab = log a+ log b]

⇒log

10

8+log

10

10

−3

⇒log

10

2

3

+(−3)log

10

10

⇒3log

10

2+(−3) [ log ab = b log a]

⇒3(0.301)−3

⇒−2.097